The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets

J. C. Mayer; Lex G. Oversteegen; E. D. Tymchatyn

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1986

Abstract

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CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the Menger curve.................................................................................................285. Extension of homeomorphisms on non-locally-separating, closed subsets of the Menger curve..............346. Universality and map extension theorems.................................................................................................427. Bibliography..............................................................................................................................................45

How to cite

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J. C. Mayer, Lex G. Oversteegen, and E. D. Tymchatyn. The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1986. <http://eudml.org/doc/268649>.

@book{J1986,
abstract = {CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the Menger curve.................................................................................................285. Extension of homeomorphisms on non-locally-separating, closed subsets of the Menger curve..............346. Universality and map extension theorems.................................................................................................427. Bibliography..............................................................................................................................................45},
author = {J. C. Mayer, Lex G. Oversteegen, E. D. Tymchatyn},
keywords = {Menger 1-dimensional universal curve; homogeneity; 1-dimensional, compact, connected, locally connected subset of ; 1-dimensional compactum; universal property; Z-set unknotting},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets},
url = {http://eudml.org/doc/268649},
year = {1986},
}

TY - BOOK
AU - J. C. Mayer
AU - Lex G. Oversteegen
AU - E. D. Tymchatyn
TI - The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets
PY - 1986
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the Menger curve.................................................................................................285. Extension of homeomorphisms on non-locally-separating, closed subsets of the Menger curve..............346. Universality and map extension theorems.................................................................................................427. Bibliography..............................................................................................................................................45
LA - eng
KW - Menger 1-dimensional universal curve; homogeneity; 1-dimensional, compact, connected, locally connected subset of ; 1-dimensional compactum; universal property; Z-set unknotting
UR - http://eudml.org/doc/268649
ER -

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